A brick of mass 2kg just begins to slide down an inclined plane at an angle of 45 degree with horizontal.what will be the force of friction
On an inclined plane, the forces acting on an object of mass can be resolved along the incline (+ up) as follows:
Gravity force+Friction force
=-mgsin(θ)+Ff
The above sum equals zero if the object stays in equilibrium.
Therefore
Ff=mg sin(&theta)
The above can be derived by drawing a free-body diagram, with which you should be familiar.
To determine the force of friction acting on the brick as it slides down the inclined plane, we need to consider the forces acting on the brick.
The forces acting on the brick on the inclined plane are:
1. The gravitational force (or weight) acting vertically downward.
2. The normal force acting perpendicular to the plane.
3. The force of friction acting parallel to the plane.
In this case, the angle of the incline is given as 45 degrees with the horizontal. Let's break down the forces:
1. Gravitational force (weight):
The weight of an object is given by the formula: weight = mass × acceleration due to gravity.
Here, the mass of the brick is given as 2kg. The acceleration due to gravity is approximately 9.8 m/s².
Thus, the weight of the brick is: weight = 2kg × 9.8 m/s² = 19.6 N.
2. Normal force:
The normal force is the force exerted by a surface perpendicular to the contact area. Since the inclined plane is at an angle of 45 degrees with the horizontal, the normal force will balance the component of the weight acting perpendicular to the plane.
In this case, the normal force will equal the weight of the brick, as the inclined plane is at a 45-degree angle with the horizontal.
3. Force of friction:
The force of friction can be determined by using the formula: force of friction = coefficient of friction × normal force.
However, the coefficient of friction is not provided in the question. Therefore, we cannot calculate the exact value of the force of friction without this information.
To find the force of friction, you would need to know the coefficient of friction between the sliding surfaces (in this case, the brick and the inclined plane). The coefficient of friction depends on the nature of the surfaces in contact and is not provided in the question.